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Finding the Fourth Proportional to 506,268.46, 759,403.43 and 206,749.04

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Solution

The fourth proportional to 506,268.46, 759,403.43 and 206,749.04 is: 310,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,268.46 : 759,403.43 = 206,749.04 : x
  2. Step 2: Convert to fraction form
    506,268.46/759,403.43 = 206,749.04/x
  3. Step 3: Cross multiply
    506,268.46x = 759,403.43 × 206,749.04
  4. Step 4: Simplify right side
    506,268.46x = 157,005,928,142.21
  5. Step 5: Solve for x
    x = 157,005,928,142.21/506,268.46
  6. Step 6: Final answer
    x = 310,123.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.